Yutao Ma

activity

20172026

most citedDistances between Random Orthogonal Matrices and Independent Normals

14 citations · 14 across the 10 of their papers we have counts for

collaborators

12 papers

math.PR2026

Limiting distributions of the rightmost eigenvalue of the truncated circular Unitary ensemble across all truncation regimes

Yutao Ma, Xujia Meng

We study the limiting distribution of the largest real part of the eigenvalues of truncated unitary matrices. Let $U_m$ be an $m\times m$ Haar-distributed unitary matrix, and l…

math.PR2026

Precise universal edge asymptotics for planar $β = 2$ Coulomb gases with radial external fields

Yutao Ma, Xujia Meng

We investigate the extremal statistics of planar $β = 2$ Coulomb gases with radial external fields. For the rightmost eigenvalue and the spectral radius, we establish sharp Berry--Es…

math.PR2026

From Gaussian to Gumbel: extreme eigenvalues of complex Ginibre products with exact rates

Yutao Ma, Xujia Meng

We consider the product of $k_{n}$ independent $n\times n$ complex Ginibre matrices and denote its eigenvalues by $Z_{1},\ldots ,Z_{n}$. Let \(α= \lim_{n\to\infty} n / k_{n}\…

math.PR2026

Deviation probabilities and Sharp Berry-Esseen bound for rightmost eigenvalue of large non-Hermitian chiral random matrices

Yutao Ma, Xujia Meng

This paper provides a quantitative analysis of the rightmost eigenvalue for a chiral non-Hermitian random Dirac matrix in the maximally non-Hermitian regime ( $τ = 0$ ). Let $(σ_i)_{1\…

math.PR2025

Precise convergence rate of spectral radius of product of complex Ginibre

Yutao Ma, Xujia Meng

Let $Z_{1}, \dots, Z_{n}$ denote the eigenvalues of the product $\prod_{j = 1}^{k_{n}} A_{j}$ , where ${A_{j}}_{1 \leq j \leq k_{n}}$ are independent $n \times n$ comple…

math.PR2025

Revisit on the convergence rate of normal extremes

Yutao Ma, Bingjie Tian

Let $(X_{i})_{1 \leq i \leq n}$ be independent and identically distributed (i.i.d.) standard Gaussian random variables, and denote by $X_{(n)} = max_{1 \leq i \leq n} X_{i}$ the maximum o…

math.PR2025

How fast does spectral radius of truncated circular unitary ensemble converge?

Yutao Ma, Xujia Meng

Let $z_{1}, \dots, z_{p}$ be the eigenvalues of $A,$ which is the left-top $p \times p$ submatrix of an $n \times n$ Haar-invariant unitary matrix. Suppose there exist two constants $0<…

math.PR2025

Universality of the convergence rate for spectral radius of complex IID random matrices

Xinchen Hu, Yutao Ma

Let $X$ be an $n \times n$ matrix with independent and identically distributed entries $x_{ij} = d n^{- 1/2} x$ for some complex random variable $x$ of mean z…

math.PR2025

Convergence rate of extreme eigenvalue of Ginibre ensembles to Gumbel distribution

Xinchen Hu, Yutao Ma

Let $X$ be a real $(β = 1)$ or complex $(β = 2)$ Ginibre ensemble. Let ${σ_{i}}_{1 \leq i \leq n}$ be the eigenvalues of $X,$ and $Z_{n}$ be some rescaled version of $max_{i} ℜ σ_{i} .$ It was…

math.PR2025

Fisher information approximation of random orthogonal matrices by Gaussian matrices

Yutong Chen, Yutao Ma, Shuhong Xie +1

Let $Γ_{n}$ be an $n \times n$ Haar-invariant orthogonal matrix. Let $Z_{n}$ be the $p \times q$ upper-left submatrix of $Γ_{n}$ and $G_{n}$ be a $p \times q$ matrix whose $pq$ entries a…

math.PR2025

Exact convergence rate of spectral radius of complex Ginibre to Gumbel distribution

Yutao Ma, Xujia Meng

Consider the complex Ginibre ensemble, whose eigenvalues are $(λ_{i})_{1 \leq i \leq n}$ and the spectral radius $R_{n} = max_{1 \leq i \leq n} ∣ λ_{i} ∣.$ Set $X_n=\sqrt{4 γ_{n}}(R_{n}-\sqrt{n}-\fr…

math.PR2017★ 14 cited

Distances between Random Orthogonal Matrices and Independent Normals

Tiefeng Jiang, Yutao Ma

Let $Γ_{n}$ be an $n \times n$ Haar-invariant orthogonal matrix. Let $Z_{n}$ be the $p \times q$ upper-left submatrix of $Γ_{n},$ where $p = p_{n}$ and $q = q_{n}$ are two positive integers. Let…

Limiting distributions of the rightmost eigenvalue of the truncated circular Unitary ensemble across all truncation regimes

Precise universal edge asymptotics for planar β=2 Coulomb gases with radial external fields

From Gaussian to Gumbel: extreme eigenvalues of complex Ginibre products with exact rates

Deviation probabilities and Sharp Berry-Esseen bound for rightmost eigenvalue of large non-Hermitian chiral random matrices

Precise convergence rate of spectral radius of product of complex Ginibre

Revisit on the convergence rate of normal extremes

How fast does spectral radius of truncated circular unitary ensemble converge?

Universality of the convergence rate for spectral radius of complex IID random matrices

Convergence rate of extreme eigenvalue of Ginibre ensembles to Gumbel distribution

Fisher information approximation of random orthogonal matrices by Gaussian matrices

Exact convergence rate of spectral radius of complex Ginibre to Gumbel distribution

Distances between Random Orthogonal Matrices and Independent Normals

Precise universal edge asymptotics for planar $β = 2$ Coulomb gases with radial external fields